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Finding the Third Proportional to 242,992 and 525,920

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Solution

The third proportional to 242,992 and 525,920 is: 1,138,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,992 : 525,920 = 525,920 : x
  2. Step 2: Convert to fraction form
    242,992/525,920 = 525,920/x
  3. Step 3: Cross multiply
    242,992x = 525,920 × 525,920
  4. Step 4: Simplify right side
    242,992x = 276,591,846,400
  5. Step 5: Solve for x
    x = 276,591,846,400/242,992
  6. Step 6: Final answer
    x = 1,138,275.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.